Answer: $5100
Step-by-step explanation:
Given, The prize money starts at $20 for the first question.
Let a= 20,
Also, Each question is tougher than the one before it, and the station doubles the prize money from the previous amount.
i.e. the sequence prize willbe : $20 , 2 x ($20) , 2² x ($20)x ....
That is its is an geometric progression with the common ratio r= 2,
Since the sum of n terms in GP is given by :-

So the total money will it hand out in prizes after 8 questions would be :

Hence, the total money it will hand out in prizes = $5100
Answer:
wow that is a lot
Step-by-step explanation:
maybe you should send it in bits not all at once
If you put in z to the equation

you get

and that equals 9 so the answer is B. 9
13/250 as a decimal is 0.052
Hello,
To solve this, we should first write an inequality.
Since we have to pay $109.50 to rent the studio, we will start with that.
Then, we add on 15 per person. Finally, it needs to be under $319.
The inequality is:
109.5 + 15x < 318
Solve it gives:
15x < 208.5
x < 13.9
We have to invite less than 13.9 people. So they most we can invite is only 13.
I hope this helps,
MrEQ